Finding the Third Proportional to 65,922 and 144,948
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Solution
The third proportional to 65,922 and 144,948 is: 318,708.82
Step by Step Solution
- Step 1: Write the proportion equation
65,922 : 144,948 = 144,948 : x - Step 2: Convert to fraction form
65,922/144,948 = 144,948/x - Step 3: Cross multiply
65,922x = 144,948 × 144,948 - Step 4: Simplify right side
65,922x = 21,009,922,704 - Step 5: Solve for x
x = 21,009,922,704/65,922 - Step 6: Final answer
x = 318,708.82
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.